 | University of Bombay - 1906 - 956 σελίδες
...triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. B 150—6 Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,... | |
 | University of Oxford - 1913 - 386 σελίδες
...of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. Areas. Parallelograms on the same or equal bases and of the same altitude are equal in area. Triangles... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 σελίδες
...opposite to it 25 THEOREM 20. Any two sides %fa triangle are together greater than the third side 26 THEOREM 21. Of all the straight lines that can be...point outside it, the perpendicular is the shortest , 28 Loci. Note on loci 28 THEOREM 22. The locus of a point which is equidistant from two fixed points... | |
 | James McMahon - 2018 - 244 σελίδες
...to AB (see fig. 144) ; from O draw six or seven straight lines to meet AB. Measure all these lines. THEOREM 21. Of all the straight lines that can be...point outside it, the perpendicular is the shortest. ANPB fig. 144. Data AB is a straight line and O a point outside it ; ON is drawn -L to AB meeting it... | |
 | 352 σελίδες
...is any point inside a triangle ABC, prove that BA + AC>BO + OC. [Produce BO to cut AC.] THEOREM I. 21. Of all the straight lines that can be drawn to...point outside it, the perpendicular is the shortest. ANPB fig. 287. Data AB is a straight line and O a point outside it; ON is drawn j. to AB meeting it... | |
 | McGill University - 1910 - 92 σελίδες
...of a triangle are unequal, the greater side has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,... | |
 | 480 σελίδες
...36 ^THEOREM 18. Any two sides of a triangle are together greater than the third side 37 THEOREM 19. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest 39 EXERCISES 39 Chapter VI. NOTE ON DEFINITIONS 42 THE PARALLELOGRAM. THEOREM 20. (i) The opposite... | |
 | University of Cambridge - 1907 - 1636 σελίδες
...of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,... | |
 | G. P. West - 1965 - 362 σελίδες
...+ RX>ST, .'. SR + RT > ST. (constr.) Similarly (ii) TS + SR>TR and (iii) RT+TS>RS. QED THEOREM 22. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. Given. RS is a straight line and O a point outside it; ON is drawn J. to RS meeting it in N. P is any... | |
 | University of New Zealand - 1904 - 362 σελίδες
...of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,... | |
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Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest. 
